VCE Specialist Mathematics Past Exam Questions
Browse VCE Specialist Mathematics exam questions from 2015–2026, including NHT and VCE papers. Filter by topic, year and paper; open the original source.
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Section A, Question 5
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Estimated difficulty · Easy
Question 5 Im(z) 4 Id I ® 2 £ 8 H ° = o [=] The equation of the ray on the Argand plane above is A Arg(z-2+430 = B. Arg(z+2-3i)= c. arg(z+2-3)= 2 D. Arg(z-2+3i r Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 6
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Report-based difficulty · EasyAverage marks: 70% of available · official reportAnswered correctly: 70% · official report
Question 6 Let z ∈ C. Given that z = 1 and z ≠ 1, Re 1 1 z is A. − 1 2 B. 0 C. 1 D. 3
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 7
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Report-based difficulty · EasyAverage marks: 79% of available · official reportAnswered correctly: 79% · official report
Question 7 Using the substitution u cos ( ) , 1 2 1 0 2 sin ( ) cos ( ) d can be expressed as A. u u u du 1 2 B. 1 1 u du C. 1 1 2 u du D. 1 1 Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 7
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Question 7 Water is poured at a rate of 5 cm 10 cm, as shown below. into an inverted right circular cone of height 20 cm and radius Water flows through a hole at the vertex of the
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 8
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Report-based difficulty · EasyAverage marks: 80% of available · official reportAnswered correctly: 80% · official report
Question 8 Consider the direction field below. 2 1 −1 −2 y x O 1 −1 −2 2 The direction field best represents the differential equation A. dy dx x y 2 B. dy dx x y 2 C. dy dx y x D.
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 8(f)Question part (f)
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Question 8 f Using the substitution x = tan (9), then | dx is equivalent to 11+ x7)? a A [rl 0 sec?(6) B. I: 20520) df) ,
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 9
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Report-based difficulty · MediumAverage marks: 49% of available · official reportAnswered correctly: 49% · official report
Question 9 A parametric curve is given by x kt y e kt = = , , where k is a positive constant. The curve is rotated about the x-axis from t = a to t = b, where b > a, to form a surf
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Question 9 The length of the curve defined by x = ¢’ sin(¢) and cos(r), where r € fo 2. can be found by evaluating I< « 8 £ x £ B. 2|%eMdr E] 0 5 3 = c. afar og o o Ed Q 2, D. edt
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 10
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Report-based difficulty · MediumAverage marks: 69% of available · official reportAnswered correctly: 69% · official report
Question 10 The region bounded by the curve given by y x 3 1 cos ( ), for 0 ≤ y ≤ a, where a > 0, and the line x = 0 is rotated about the y-axis to form a solid of revolution. The
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE Specialist Mathematics examination 2 (PDF, 1.17 MB) · Report: 2025 VCE Specialist Mathematics 2 external assessment report (DOCX, 908.84 KB)Section A, Question 10
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Question 10 The curve given by y revolution. , where x € [0, 1], is rotated about the x-axis to form a surface of The area of this surface is 2\2n Section A
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)Section A, Question 11
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Report-based difficulty · MediumAverage marks: 55% of available · official reportAnswered correctly: 55% · official report
Question 11 Given that y(x) is a solution to the differential equation dy dx x y = 2 3, where y(1) = 3, the domain of y is A. x 7 6 1 3 B. x C. x D. x
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Question 11 A drone is rising vertically. When it reaches a height of metres above the ground it is travelling at a speed of u metres per second. At height # metres the drone stops
Search excerpt only. Open the original question for exact equations and diagrams.Source: 2025 VCE (NHT) Specialist Mathematics examination 2 (PDF, 5.7 MB)How to use ClassConnect past exam questions
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